Partition Analysis, Modular Functions, and Computer Algebra
نویسندگان
چکیده
This article describes recent developments connecting problems of enumerative combinatorics, constrained by linear systems of Diophantine inequalities, with number theory topics like partitions, partition congruences, and q-series identities. Special emphasis is put on the role of computer algebra algorithms. The presentation is intended for a broader audience; to this end, elementary introductions to notions like modular functions and to algorithmic aspects of algebra are given.
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